5(10-y)=8(y+1)

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Solution for 5(10-y)=8(y+1) equation:


Simplifying
5(10 + -1y) = 8(y + 1)
(10 * 5 + -1y * 5) = 8(y + 1)
(50 + -5y) = 8(y + 1)

Reorder the terms:
50 + -5y = 8(1 + y)
50 + -5y = (1 * 8 + y * 8)
50 + -5y = (8 + 8y)

Solving
50 + -5y = 8 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
50 + -5y + -8y = 8 + 8y + -8y

Combine like terms: -5y + -8y = -13y
50 + -13y = 8 + 8y + -8y

Combine like terms: 8y + -8y = 0
50 + -13y = 8 + 0
50 + -13y = 8

Add '-50' to each side of the equation.
50 + -50 + -13y = 8 + -50

Combine like terms: 50 + -50 = 0
0 + -13y = 8 + -50
-13y = 8 + -50

Combine like terms: 8 + -50 = -42
-13y = -42

Divide each side by '-13'.
y = 3.230769231

Simplifying
y = 3.230769231

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